2(4z-1)=3(z+2)

Solution for 2(4z-1)=3(z+2) equation:

Simplifying
2(4z + -1) = 3(z + 2)

Reorder the terms:
2(-1 + 4z) = 3(z + 2)
(-1 * 2 + 4z * 2) = 3(z + 2)
(-2 + 8z) = 3(z + 2)

Reorder the terms:
-2 + 8z = 3(2 + z)
-2 + 8z = (2 * 3 + z * 3)
-2 + 8z = (6 + 3z)

Solving
-2 + 8z = 6 + 3z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-3z' to each side of the equation.
-2 + 8z + -3z = 6 + 3z + -3z

Combine like terms: 8z + -3z = 5z
-2 + 5z = 6 + 3z + -3z

Combine like terms: 3z + -3z = 0
-2 + 5z = 6 + 0
-2 + 5z = 6

Add '2' to each side of the equation.
-2 + 2 + 5z = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 5z = 6 + 2
5z = 6 + 2

Combine like terms: 6 + 2 = 8
5z = 8

Divide each side by '5'.
z = 1.6

Simplifying
z = 1.6